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Finding the Third Proportional to 97,200 and 140,472

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Solution

The third proportional to 97,200 and 140,472 is: 203,008.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,200 : 140,472 = 140,472 : x
  2. Step 2: Convert to fraction form
    97,200/140,472 = 140,472/x
  3. Step 3: Cross multiply
    97,200x = 140,472 × 140,472
  4. Step 4: Simplify right side
    97,200x = 19,732,382,784
  5. Step 5: Solve for x
    x = 19,732,382,784/97,200
  6. Step 6: Final answer
    x = 203,008.05

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.